Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx B) Write the equation for the tangent line where x = 2 and y = 1. C) Find the coordinates of the point (x, y) where the curve has a horizontal tangent line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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Please answer A, B, and C!

Consider the curve x²y + y²x = 6
A) Find d in terms of x and y
B) Write the equation for the tangent line where x = 2 and y = 1.
C) Find the coordinates of the point (x, y) where the curve has a horizontal tangent line.
Transcribed Image Text:Consider the curve x²y + y²x = 6 A) Find d in terms of x and y B) Write the equation for the tangent line where x = 2 and y = 1. C) Find the coordinates of the point (x, y) where the curve has a horizontal tangent line.
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